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Finding the Fourth Proportional to 332.34, 498.42 and 149.76

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Solution

The fourth proportional to 332.34, 498.42 and 149.76 is: 224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.34 : 498.42 = 149.76 : x
  2. Step 2: Convert to fraction form
    332.34/498.42 = 149.76/x
  3. Step 3: Cross multiply
    332.34x = 498.42 × 149.76
  4. Step 4: Simplify right side
    332.34x = 74,643.38
  5. Step 5: Solve for x
    x = 74,643.38/332.34
  6. Step 6: Final answer
    x = 224.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.